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Papessa [141]
3 years ago
5

Which of the following represents a geometric series (remember what a series is as opposed to a sequence)?

Mathematics
1 answer:
juin [17]3 years ago
8 0

Answer:

4 + 12 + 36 + ...

Step-by-step explanation:

4, 12, 36, ... is a geometric sequence, it has a common ratio of r=\frac{36}{12}=\frac{12}{4}=3

When we add the terms of a geometric sequence we get a geometric series.

4+12+36+ ... is a geometric series, it has a common ratio of r=\frac{36}{12}=\frac{12}{4}=3

4 + 12 + 20 + ... is not a geometric series because it has no common ratio

\frac{20}{12}\ne \frac{12}{4}

The second choice is correct

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The answer to this question. i’m confused and don’t understand it.
Georgia [21]

Answer:

5,120 bacterias

Step-by-step explanation:

Given the amount of bacteria after x hours modelled by the equation:

f(x) = 20(2)^x/12

Note that x is in hours not days

To calculate the number of bacteria that will be contained within the culture after 4 days, we will first convert 4days into hours since x is in hours.

24hours = 1day

xhours = 4days

x = 24×4

x = 96hours

Substituting x = 96 into the equation

f(96) = 20(2)^96/12

f(96) = 20(2)^8

f(96) = 20×2^8

f(96) = 20×256

f(96) = 5,120

The number of bacteria that will be contained after 4days is 5,120bacterias

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2 years ago
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3 years ago
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natali 33 [55]

Answer:

225

Step-by-step explanation:

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Use inductive reasoning to find the next term in the sequence 0, 1, 1, 2, 3, 5, 8 …<br>Answer is 13
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Answer:

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